Overview
- Enriches understanding of Hilbert-type inequalities
- Presents recent developments and new results
- Uses constant factors to extended Hurwitz zeta function with examples
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
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Front Matter
Keywords
About this book
This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators.
Reviews
“This monograph could be useful for graduate students of mathematics, physics and engineering sciences, or to anyone interested in this active field of research.” (J. Sándor, Mathematical Reviews, May, 2020)
Authors and Affiliations
Bibliographic Information
Book Title: On Hilbert-Type and Hardy-Type Integral Inequalities and Applications
Authors: Bicheng Yang, Michael Th. Rassias
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-29268-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-29267-6Published: 30 September 2019
eBook ISBN: 978-3-030-29268-3Published: 25 September 2019
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: X, 145
Number of Illustrations: 1 b/w illustrations
Topics: Operator Theory, Dynamical Systems and Ergodic Theory, Real Functions, Numerical Analysis